133918507008 has 960 divisors, whose sum is σ = 488831212800. Its totient is φ = 35672555520.

The previous prime is 133918507001. The next prime is 133918507049. The reversal of 133918507008 is 800705819331.

133918507008 is a `hidden beast` number, since 133 + 9 + 1 + 8 + 507 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×133918507008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133918507001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1834500060 + ... + 1834500132.

It is an arithmetic number, because the mean of its divisors is an integer number (509199180).

Almost surely, 2^133918507008 is an apocalyptic number.

133918507008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133918507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244415606400).

133918507008 is an abundant number, since it is smaller than the sum of its proper divisors (354912705792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133918507008 is a wasteful number, since it uses less digits than its factorization.

133918507008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 133918507008 in words is "one hundred thirty-three billion, nine hundred eighteen million, five hundred seven thousand, eight".